388790160 has 320 divisors, whose sum is σ = 1448478720. Its totient is φ = 85155840.

The previous prime is 388790159. The next prime is 388790161. The reversal of 388790160 is 61097883.

It is an interprime number because it is at equal distance from previous prime (388790159) and next prime (388790161).

It is not an unprimeable number, because it can be changed into a prime (388790161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1153512 + ... + 1153848.

It is an arithmetic number, because the mean of its divisors is an integer number (4526496).

Almost surely, 2^388790160 is an apocalyptic number.

388790160 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724239360).

388790160 is an abundant number, since it is smaller than the sum of its proper divisors (1059688560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

388790160 is a wasteful number, since it uses less digits than its factorization.

388790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 388790160 is about 19717.7625505532. The cubic root of 388790160 is about 729.8580821260.

The spelling of 388790160 in words is "three hundred eighty-eight million, seven hundred ninety thousand, one hundred sixty".